1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.
The first derivative of ln x is 1/x, which (for the following) you better write as x-1.Now use the power rule:Second derivative (the derivative of the first derivative) is -1x-2, the third derivative is the derivative of this, or 2x-3. You may now wish to write this in the alternative form, as 2 / x3.
25
The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.
2
1
The first derivative of ln x is 1/x, which (for the following) you better write as x-1.Now use the power rule:Second derivative (the derivative of the first derivative) is -1x-2, the third derivative is the derivative of this, or 2x-3. You may now wish to write this in the alternative form, as 2 / x3.
1
Write it as (1/3)x and take the derivative. You get (1/3)x0 = 1/3 * 1 = 1/3 ■
25
The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.
2
the derivative of 1x would be 1 the derivative of x to the power of 1 would be 1. the derivative of x+1 would be 1 the derivative of x-1 would be 1 im not sure what you are asking, but however you put it, it's 1.
2
0.3333
90
(1/2(x^-1/2))/x
It is negative one divided by 4 multiplied by x to the power of 1.5 -1/(4(x^1.5))